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Finding the Fourth Proportional to 11,649.94, 17,475.04 and 2,884.93

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Solution

The fourth proportional to 11,649.94, 17,475.04 and 2,884.93 is: 4,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.94 : 17,475.04 = 2,884.93 : x
  2. Step 2: Convert to fraction form
    11,649.94/17,475.04 = 2,884.93/x
  3. Step 3: Cross multiply
    11,649.94x = 17,475.04 × 2,884.93
  4. Step 4: Simplify right side
    11,649.94x = 50,414,227.07
  5. Step 5: Solve for x
    x = 50,414,227.07/11,649.94
  6. Step 6: Final answer
    x = 4,327.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.